math

Class 10 | Chapter 3 | Pair of Linear Equations | Exercise 3.2

Question 1 (i) : Form the pair of linear equations in the following problems, and find their solutions graphically. (i)  10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than…

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Class 10 | Chapter 3 | Pair of Linear Equations | Exercise 3.1

Question 1: Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this…

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Class 10 | Chapter 3 | Pair of Linear Equations | Examples

Example 1: Let us take the example given in Section 3.1. Akhila goes to a fair with ` 20 and wants to have rides on the Giant Wheel and play Hoopla. Represent this situation algebraically and graphically (geometrically). Example 2:…

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Class 10 | Chapter 3 | Pair of Linear Equations | Theorems & Concepts

Concept: In this tutorial, you will be introduced to the pair of Linear equations and their graphical representation. The concepts have been explained with the help of very easy examples. Concept: The ratio of the coefficients of a pair of…

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Class 10 | Chapter 2 | Polynomials | Exercise 2.1

Question 1: The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. Class 10 | Examples Class 10 | Exercise 2.2

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Class 10 | Chapter 2 | Polynomials | Theorems & Concepts

Concept: In this tutorial, you will understand what is a Linear, Quadratic and Cubic polynomial and also what is a zero of a polynomial and its geometric meaning. Concepts are explained with examples and graphically. Concept: Relationship between zeroes and…

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Class 10 | Chapter 2 | Polynomials | Exercise 2.3

Question 1: Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : (i) p(x) = x3 – 3×2 + 5x – 3, g(x) = x2 – 2 (ii) p(x) =…

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Class 10 | Chapter 2 | Polynomials | Exercise 2.2

Question 1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 –2x–8 (ii) 4s2 –4s+1 (iii) 6×2 –3–7x (iv) 4u2 +8u (v) t2 –15 (vi) 3×2 –x–4 Question 2:…

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Class 10 | Chapter 2 | Polynomials | Examples

Example 1: Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x). Example 2: Find the…

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Class 10 | Chapter 1 | Real Numbers | Exercise 1.4

Question 1: Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: Question 2: Write down the decimal expansions of those rational numbers in Question 1…

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